- 127
- 14 480 657
AlgoMotion
Canada
เข้าร่วมเมื่อ 12 พ.ย. 2023
Algorithms meet art & music
Sounds of the Collatz Conjecture, Part 2: Generating Raw Frequencies
Using sequences from the famous unsolved Collatz conjecture to generate audio sequences of raw frequencies.
Part 1: th-cam.com/video/mOKmc099Wcs/w-d-xo.html
The Collatz conjecture is also known as the 3n + 1 problem, the 3x + 1 problem, the Ulam conjecture, Kakutani's problem, the Thwaites conjecture, Hasse's algorithm, or the Syracuse problem.
Three different strategies are used to map the "hailstone sequences" into sequences of frequencies: multiplying each hailstone number by a "base frequency"; multiplying each hailstone number by an increment frequency and adding it to a base frequency; and a logarithmic mapping.
An attack, decay, sustain, release (ADSR) envelope is used on pure sine waves to generate the tones, followed by a gentle low-pass filter to smooth out the perceived loudness across the frequency range.
These visualizations were written in Java using a graphical library called Processing (processing.org/).
0:00 The Collatz Conjecture Recap
0:53 Strategy No. 1
3:51 Strategy No. 2
6:32 Strategy No. 3
#math #music #microtonal #musictheory #unsolved #patterns #code #java #software #computerscience #visualization #algorithmicmusic #algorithmiccomposition #part2
Part 1: th-cam.com/video/mOKmc099Wcs/w-d-xo.html
The Collatz conjecture is also known as the 3n + 1 problem, the 3x + 1 problem, the Ulam conjecture, Kakutani's problem, the Thwaites conjecture, Hasse's algorithm, or the Syracuse problem.
Three different strategies are used to map the "hailstone sequences" into sequences of frequencies: multiplying each hailstone number by a "base frequency"; multiplying each hailstone number by an increment frequency and adding it to a base frequency; and a logarithmic mapping.
An attack, decay, sustain, release (ADSR) envelope is used on pure sine waves to generate the tones, followed by a gentle low-pass filter to smooth out the perceived loudness across the frequency range.
These visualizations were written in Java using a graphical library called Processing (processing.org/).
0:00 The Collatz Conjecture Recap
0:53 Strategy No. 1
3:51 Strategy No. 2
6:32 Strategy No. 3
#math #music #microtonal #musictheory #unsolved #patterns #code #java #software #computerscience #visualization #algorithmicmusic #algorithmiccomposition #part2
มุมมอง: 707
วีดีโอ
Conway's Game of Life as a Musical Instrument
มุมมอง 132Kหลายเดือนก่อน
Using the most famous cellular automaton (Conway's Game of Life) to generate music. We experiment with different note layouts and starting patterns to produce a variety of musical results. 0:00 Conway's Game of Life 1:38 Game of Life as a Musical Instrument 3:01 Thinning strategies 4:51 Midweight Spaceship (MWSS), harmonic minor 5:18 Heavyweight Spaceship (HWSS), major pentatonic 5:43 Glider, m...
Sounds of the Collatz Conjecture, Part 1: Generating Music from the 3x + 1 Problem
มุมมอง 174Kหลายเดือนก่อน
Using sequences from the famous unsolved Collatz conjecture to generate musical passages as MIDI notes. The Collatz conjecture is also known as the 3n 1 problem, the 3x 1 problem, the Ulam conjecture, Kakutani's problem, the Thwaites conjecture, Hasse's algorithm, or the Syracuse problem. Different strategies are used to map the "hailstone sequences" into sequences of MIDI note numbers, includi...
Rotating Polygons on the Circle of Fifths | Surprising Results!
มุมมอง 485K2 หลายเดือนก่อน
Rotating Polygons on the Circle of Fifths | Surprising Results!
Structure from Chaos: Fractals Generated on the Circle of Fifths via the Chaos Game
มุมมอง 47K2 หลายเดือนก่อน
Structure from Chaos: Fractals Generated on the Circle of Fifths via the Chaos Game
Toothpick Sequence Visualized with Circle of Fifths Harmony | 256 Steps
มุมมอง 8K3 หลายเดือนก่อน
Toothpick Sequence Visualized with Circle of Fifths Harmony | 256 Steps
Bogosort Sheds Arabesque No. 1 Until it Sorts the List
มุมมอง 2K3 หลายเดือนก่อน
Bogosort Sheds Arabesque No. 1 Until it Sorts the List
Bogosort Sheds Bach's Prelude in C Major (BWV 846) Until it Sorts the List
มุมมอง 2.4K3 หลายเดือนก่อน
Bogosort Sheds Bach's Prelude in C Major (BWV 846) Until it Sorts the List
Bogosort Sheds Clair de Lune Until it Sorts the List
มุมมอง 1.1K3 หลายเดือนก่อน
Bogosort Sheds Clair de Lune Until it Sorts the List
One Hour Loop of Jacob Collier's One-Hand Polyrhythm Visualized w/ Bouncing Balls 🔴🟢🔵🟠🟣
มุมมอง 35K3 หลายเดือนก่อน
One Hour Loop of Jacob Collier's One-Hand Polyrhythm Visualized w/ Bouncing Balls 🔴🟢🔵🟠🟣
Jazz in Pixels: MIDI Art Renditions of 6 Standards
มุมมอง 9274 หลายเดือนก่อน
Jazz in Pixels: MIDI Art Renditions of 6 Standards
Algorithmically Generated MIDI Art Plays Giant Steps Changes with 9 Different Images
มุมมอง 1.3K4 หลายเดือนก่อน
Algorithmically Generated MIDI Art Plays Giant Steps Changes with 9 Different Images
The Ballad of Bogosort (Bogosort Sheds Autumn Leaves)
มุมมอง 3.8K4 หลายเดือนก่อน
The Ballad of Bogosort (Bogosort Sheds Autumn Leaves)
Bogosort Sheds the Rhythm Changes Until it Sorts the List
มุมมอง 6K4 หลายเดือนก่อน
Bogosort Sheds the Rhythm Changes Until it Sorts the List
Bouncing Ball Polyrhythm Visualizations
มุมมอง 56K4 หลายเดือนก่อน
Bouncing Ball Polyrhythm Visualizations
All 2520 Permutations of "The Lick" from "Farthest Away" to "Closest"
มุมมอง 3.5K4 หลายเดือนก่อน
All 2520 Permutations of "The Lick" from "Farthest Away" to "Closest"
Bogosort Takes the "A" Train Until it Sorts the List
มุมมอง 84K4 หลายเดือนก่อน
Bogosort Takes the "A" Train Until it Sorts the List
C Altered Scale | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 7144 หลายเดือนก่อน
C Altered Scale | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Lydian Dominant | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 3304 หลายเดือนก่อน
C Lydian Dominant | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Melodic Minor | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 2364 หลายเดือนก่อน
C Melodic Minor | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Romanian Minor | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 3164 หลายเดือนก่อน
C Romanian Minor | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Harmonic Minor | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 1774 หลายเดือนก่อน
C Harmonic Minor | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Locrian Mode | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 1664 หลายเดือนก่อน
C Locrian Mode | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Natural Minor | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 1284 หลายเดือนก่อน
C Natural Minor | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Mixolydian Mode | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 1504 หลายเดือนก่อน
C Mixolydian Mode | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Lydian Mode | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 1594 หลายเดือนก่อน
C Lydian Mode | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Phrygian Mode | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 2344 หลายเดือนก่อน
C Phrygian Mode | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Dorian Mode | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 3134 หลายเดือนก่อน
C Dorian Mode | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Major Scale | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 8824 หลายเดือนก่อน
C Major Scale | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
C Phrygian Dominant | Interactive YouTube Scales: Play Piano With Your Computer Keyboard
มุมมอง 5244 หลายเดือนก่อน
C Phrygian Dominant | Interactive TH-cam Scales: Play Piano With Your Computer Keyboard
also a 8:10
My gamer ass was like *Z E L D A*
sierpinski what are you doing here?????
It sounds like downloading a rune from a Sheikah pedestal in BOTW
5 by itself was the loudest one
Despacito?
The spinning Rhythm sounds like my fire alarm💀
Pov alarm:
i've seen people that play piano get so mad when i tell them that it is all just math, but it is all just math
Sound liké thé openong of mob psycho 100 1st season❤
heptagon sounds like you're falling trough a reaaaaally deep hole
Nobody: Me vibing to the video 💃🏾
Good techno always has a little bit of this
I swear the third drop is always slower!
i find this very calming
I made this series up long before I saw this. Amazing!
Amazing!
The triforce
i dont get why this didnt get more views like 27k
なんだろ...ずっと見てられる
Mob psyco 100 op1
8:13 Steve Reich published a new track? I love the dodecagon effect
Do 16:9 or 16:10
Bestagon* Chaos Game
49:10 "Oh, gosh, it's not inverted!" !!!!!! *YOU PEOPLE ACTUALLY **_EXIST!?_* I thought people who play with the mouselook inverted were just, you know, boogeymen used to scare children, and that game devs put the invert options for an easy way to prank your friends, not to be used by _real_ people! ...Are you OK? Have you sought out professional help? Is there any hope? We're worried about you.
nacho with nachos on it
Guys this is my favorite object in tears of the kingdom
Somebody sample this 😮💨😮💨😮💨
i could feel the triforce from twenty scrolls away
Almost sounds like a c418 song
Nah reminds me of million dollar baby
#Minecraft totally sounds like a Minecraft overworld song.
sounds like million dollar baby
Is there an online simulator for this?
I like this one.
If you’ve having trouble, I learned it as “not difficult”
Me expecting faded to start playing 😅
Blue 🐐
Me the hole time:🕺🏻🕺🏻🕺🏻🕺🏻🕺🏻
Surgeon simulator reference 😱😱😱😱
I ain't ever rep a set baby
I thought it was the mob psycho intro for a sec
Million dollar baby:
I ain’t ever re a set baby🗣️🔥
where the three first notes from the song children?
8:21 wheel of fortune
Exactlyyyy!!!!!!!!🎉
SELIM BRADLEY IS AN HOMUNCULUS...
Circle math on a circle. That’s it.
Polyrhythm
Jailbreak bank robbery